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Finding the Fourth Proportional to 10,765.38, 14,856.12 and 6,049.56

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Solution

The fourth proportional to 10,765.38, 14,856.12 and 6,049.56 is: 8,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.38 : 14,856.12 = 6,049.56 : x
  2. Step 2: Convert to fraction form
    10,765.38/14,856.12 = 6,049.56/x
  3. Step 3: Cross multiply
    10,765.38x = 14,856.12 × 6,049.56
  4. Step 4: Simplify right side
    10,765.38x = 89,872,989.31
  5. Step 5: Solve for x
    x = 89,872,989.31/10,765.38
  6. Step 6: Final answer
    x = 8,348.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.